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Simplifying 0.2(40) = 0.4(80 + x) + -0.8 Multiply 0.2 * 40 8 = 0.4(80 + x) + -0.8 8 = (80 * 0.4 + x * 0.4) + -0.8 8 = (32 + 0.4x) + -0.8 Reorder the terms: 8 = 32 + -0.8 + 0.4x Combine like terms: 32 + -0.8 = 31.2 8 = 31.2 + 0.4x Solving 8 = 31.2 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 8 + -0.4x = 31.2 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 8 + -0.4x = 31.2 + 0.0 8 + -0.4x = 31.2 Add '-8' to each side of the equation. 8 + -8 + -0.4x = 31.2 + -8 Combine like terms: 8 + -8 = 0 0 + -0.4x = 31.2 + -8 -0.4x = 31.2 + -8 Combine like terms: 31.2 + -8 = 23.2 -0.4x = 23.2 Divide each side by '-0.4'. x = -58 Simplifying x = -58
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